1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Painless Properties Justify Me Theorem Schmeorem Just the Facts, Ma’am Next in Line

2. If 5x = 25, then x = 5.

3. Division Property

4. m  ABC = m  ABC

5. Reflexive Property

6. If 6 = y, then y = 6.

7. Symmetric Property

8. If AB + BC = AC and BC = 10, then AB + 10 = AC

9. Substitution Property

10. If  M   N, and  N   Q, then  M   Q

11. Transitive Property of Congruence

12. Given: C is the midpoint of AB Statement: Reason: ?

13. Definition of a Midpoint

14. Given:  W   Y Statement: m  W = m  Y Reason: ?

15. Definition of Congruent Angles

16. Given: Statement:  ABD is a right angle Reason: ?

17. Definition of Perpendicular Lines

18. Given:  ABD is a right angle Statement: m  ABD = 90  Reason: ?

19. Definition of a Right Angle

20. Given:  G is a complement of  H and  J is a complement of  H Statement:  G   J Reason: ?

21. Congruent Complements Theorem

22.  1   2 Name the theorem. 1 2

23. Vertical Angle Theorem

24. AB + BC = AC Name the postulate or theorem. AB C

25. Segment Addition Postulate

26.  1 &  2 are right angles.  1   2 Name the postulate or theorem.

27. Right Angle Congruence

28.  3 &  4 are supplementary. m  3 + m  4 = 180  Name the postulate, theorem, or definition.

29. Definition of Supplementary Angles

30. bisects  ABC.  ABD   DBC Name the postulate, theorem, or definition.

31. Definition of an Angle Bisector

32. (1) All cats have fur. (2) Garfield is a cat. (3) ???

33. Garfield has fur.

34. (1) If it’s Friday, then we don’t have school the next day. (2) We don’t have school tomorrow. (3) It’s Friday. Which Law, if any???

35. Invalid

36. (1) If a polygon is a triangle, then it has 3 sides. (2) If a polygon has 3 sides, then the sum of the interior angles is 180 . (3) Conclusion: ???

37. If a polygon is a triangle, then the sum of the interior angles is 180 .

38. Mrs. D. went to the A & P the last 3 Sundays. Mrs. D. will go to the A & P this Sunday morning. Inductive or Deductive?

39. Inductive Reasoning

40. (1) If you are 18, you can register to vote. (2) Freddy is 18 today. (3) Freddy can register to vote. Which Law, if any???

41. Law of Detachment

42. Determine the next 2 terms: 3, -6, 12, -24, 48, …

43. -96, 192

44. 1, 1, 2, 3, 5, 8, 13, … is an example of what type of sequence?

45. Fibonacci

46. Determine the next item:      

47. 

48. Determine the next 2 terms: 1, 1/3, 1/9, 1/27, …

49. 1/81, 1/243

50. 1, 4, 9, 16, 25, 36, … Describe the sequence.

51. Perfect Squares